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» Explicit recursivity into reproducing kernel Hilbert spaces
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JC
2011
87views more  JC 2011»
14 years 4 months ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
CSDA
2010
139views more  CSDA 2010»
14 years 10 months ago
Detecting influential observations in Kernel PCA
Kernel Principal Component Analysis extends linear PCA from a Euclidean space to any reproducing kernel Hilbert space. Robustness issues for Kernel PCA are studied. The sensitivit...
Michiel Debruyne, Mia Hubert, Johan Van Horebeek
JMLR
2002
160views more  JMLR 2002»
14 years 9 months ago
Kernel Independent Component Analysis
We present a class of algorithms for independent component analysis (ICA) which use contrast functions based on canonical correlations in a reproducing kernel Hilbert space. On th...
Francis R. Bach, Michael I. Jordan
CORR
2008
Springer
130views Education» more  CORR 2008»
14 years 10 months ago
A Kernel Method for the Two-Sample Problem
We propose two statistical tests to determine if two samples are from different distributions. Our test statistic is in both cases the distance between the means of the two sample...
Arthur Gretton, Karsten M. Borgwardt, Malte J. Ras...
AAAI
2007
15 years 3 days ago
A Kernel Approach to Comparing Distributions
We describe a technique for comparing distributions without the need for density estimation as an intermediate step. Our approach relies on mapping the distributions into a Reprod...
Arthur Gretton, Karsten M. Borgwardt, Malte J. Ras...